Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 246902 Luke Durant 1 58.0015 59405 Curtis Cooper 9 56.5769 53457 Patrick Laroche 1 56.4714 43551 Jonathan (Jon) Pace 1 56.2664 35864 Ryan Propper 360 56.0722 8370 Serge Batalov 392.333 54.6172 7327 Edson Smith 1 54.4841 7086 Odd Magnar Strindmo 1 54.4507 4650 Hans-Michael Elvenich 1 54.0294 2814 Steven R. Boone 1 53.5273 2717 Péter Szabolcs 1 53.4922 2580 Dr. James Scott Brown 190 53.4404 2407 Tom Greer 124 53.3709 1589 Anonymous Person(s) 219 52.9556 1553 Dr. Martin Nowak 1 52.9330 1356 Mark Williams 5 52.7967 1227 Josh Findley 1 52.6968 1063 Jonas Skendelis 1 52.5535 1039 Pavel Atnashev 8 52.5303 1036 Rob Gahan 31.5 52.5278

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.